Search a number
-
+
2322021020 = 2251128137561
BaseRepresentation
bin1000101001100111…
…0011101010011100
312222211021220000112
42022121303222130
514223414133040
61022224545152
7111353565404
oct21231635234
95884256015
102322021020
11a917a1840
125497821b8
132b00b5447
14180561804
15d8cc1365
hex8a673a9c

2322021020 has 48 divisors (see below), whose sum is σ = 5338611936. Its totient is φ = 841344000.

The previous prime is 2322020999. The next prime is 2322021049. The reversal of 2322021020 is 201202232.

2322021020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2322020986 and 2322021004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43040 + ... + 80600.

It is an arithmetic number, because the mean of its divisors is an integer number (111221082).

Almost surely, 22322021020 is an apocalyptic number.

2322021020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2322021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2669305968).

2322021020 is an abundant number, since it is smaller than the sum of its proper divisors (3016590916).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2322021020 is a wasteful number, since it uses less digits than its factorization.

2322021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37862 (or 37860 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2322021020 is about 48187.3533201399. The cubic root of 2322021020 is about 1324.2054845166.

Adding to 2322021020 its reverse (201202232), we get a palindrome (2523223252).

The spelling of 2322021020 in words is "two billion, three hundred twenty-two million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 281 562 1124 1405 2810 3091 5620 6182 12364 15455 30910 37561 61820 75122 150244 187805 375610 413171 751220 826342 1652684 2065855 4131710 8263420 10554641 21109282 42218564 52773205 105546410 116101051 211092820 232202102 464404204 580505255 1161010510 2322021020